The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
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Answer:
height = 14.2 m , base = 7.1 m
Step-by-step explanation:
let the base be b then height h = 2b
The area (A) of a triangle is calculated as
A = 
bh
Here A = 50 , then
× b × 2b = 50
b² = 50 ( take square root of both sides )
b = 
≈ 7.1 ( to the nearest tenth )
Then base = 7.1 m and height = 2 × 7.1 = 14.2 m
Answer:
Triangular prism is better deal as the volume of triangular prism is greater.
Step-by-step explanation:
Consider the provided information.
The volume of prism is: 
Where B is the base area and h is the height of the prism.
It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.
The volume of the trapezoidal prism is:
Hence, the volume of trapezoidal prism is 132 in³.
Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.
The volume of the triangular prism is:
Hence, the volume of the triangular prism is 170 in³.
Triangular prism is better deal as the volume of triangular prism is greater.
Step-by-step explanation:
Median means the middle number
number already order
Median is 4 as there are 3 numbers to left and right
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90
